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Finding the Fourth Proportional to 24,100.94, 36,150.34 and 6,570.77

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Solution

The fourth proportional to 24,100.94, 36,150.34 and 6,570.77 is: 9,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.94 : 36,150.34 = 6,570.77 : x
  2. Step 2: Convert to fraction form
    24,100.94/36,150.34 = 6,570.77/x
  3. Step 3: Cross multiply
    24,100.94x = 36,150.34 × 6,570.77
  4. Step 4: Simplify right side
    24,100.94x = 237,535,372.38
  5. Step 5: Solve for x
    x = 237,535,372.38/24,100.94
  6. Step 6: Final answer
    x = 9,855.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.